Question

19. Teacher gives some notebooks to Robert and Thomas and asked them to share among themselves in ratio 9 : 7. If Robert gets 16 notebooks more than Thomas, then find the number of notebooks given by the teacher to them.


~12/11/19​

Answer 1

Step-by-step explanation:

let the books Thomas gets = x

the books Robert gets = x + 16

$\implies$ ${\Large\frac{9}{7}}={\Large\frac{x+16}{x}}$

$\implies$ $9×x=7(x+16)$

$\implies$ $9x=7x+112$

$\implies$ $9x-7x=112$

$\implies$ $x=\Large\frac{112}{2}$

$\implies$ $x=56$

Thomas = x = 56 books

Robert = x+16 = 56+16 = 72 books.

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Answer 2

Answer:

128 notebooks

Step-by-step explanation:

Given : ratio of sharing notebooks by Robert and Thomas is 9 : 7

Robert gets 16 more notebooks than Thomas

So, difference in their no. of getting notebooks is 16

Let their ratio be x

Ratio of Robert = 9x

Ratio of Thomas = 7x

We get equation

9x - 7x = 16

2x = 16

x = 16/2

x = 8

No.of notebooks Robert gets = 9x

= 9(8) = 72 books

No. of notebooks Thomas gets = 7x

= 7(8) = 56 books

Total no. of notebooks given by the teacher =

72 + 56 = 128 notebooks